Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left({(-4)}^{2} - 1\times6\right)2(-3)(-6) $$
Correct Answer
$$ 360$$ or 360.000

2. Simplify 2

Simplify the following expression: $$ 2\frac{-3}{6}\left({5}^{3} + -6 - -5\right) $$
Correct Answer
$$ -124$$ or -124.000

3. Fractions 1

Simplify the following expression: $$ \frac{-2}{6} - \frac{4}{3} $$
Correct Answer
$$ \frac{-5}{3}$$ or -1.6666666666666665

4. Fractions 2

Simplify the following expression: $$ \frac{-2}{2}\frac{4}{6} $$
Correct Answer
$$ \frac{-2}{3}$$ or -0.6666666666666666

5. Significant figures

1. Write the following to 3 significant figures: 0.89094108
Correct Answer
0.891 or $$8.91\times10^{-1}$$
2. Write the following to 3 significant figures: 0.0021488186
Correct Answer
0.00215 or $$2.15\times10^{-3}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 1.21562
Correct Answer
$$1.2156\times10^{0}$$
2. Write the following in standard form to 3 significant digits: 302.350
Correct Answer
$$3.02\times10^{2}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 0.0000002401
Correct Answer
$$240\times10^{-9}$$
2. Write the following in preferred standard form to 2 significant digits: 0.000001150
Correct Answer
$$1.1\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ \left(4 + -1\right)\left(-3 - 6\right) + {\left(\frac{1}{-3}\right)}^{2} $$
Correct Answer
$$ {\left(\frac{1}{3}\right)}^{2} - 27$$ or -26.8889

9. Simplify 1

Simplify the following expression: $$ \left(-6 - 4\right)\left(5 + 4\right) - {\left(6 - -6\right)}^{2} $$
Correct Answer
$$ -234$$ or -234.000

10. Simplify 2

Simplify the following expression: $$ 2{3}^{2} - \left(-5 + 6\right)\left(6 - -3\right) $$
Correct Answer
$$ 9$$ or 9.00000


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